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Finding the Fourth Proportional to 1,283.16, 1,922.02 and 590.41

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Solution

The fourth proportional to 1,283.16, 1,922.02 and 590.41 is: 884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.16 : 1,922.02 = 590.41 : x
  2. Step 2: Convert to fraction form
    1,283.16/1,922.02 = 590.41/x
  3. Step 3: Cross multiply
    1,283.16x = 1,922.02 × 590.41
  4. Step 4: Simplify right side
    1,283.16x = 1,134,779.83
  5. Step 5: Solve for x
    x = 1,134,779.83/1,283.16
  6. Step 6: Final answer
    x = 884.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.